Answer :

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The volume occupied by the given mol of the ideal gas at the given temperature and pressure is 17.05L.

Ideal Gas Law

The Ideal gas law or general gas equation emphasizes on the state or behavior of a hypothetical ideal gas. It states that "the pressure multiplied by volume is equal to moles multiply by the universal gas constant multiply by temperature.

It is expressed as;

PV = nRT

Where P is pressure, V is volume, n is the amount of substance, T is temperature and R is the ideal gas constant ( 0.08206 Latm/molK )

Given the data in the question;

  • Amount of gas n = 0.582mol
  • Temperature T = 15°C = 288.15K
  • Pressure P = 81.8kPA = 0.8073atm
  • Volume of the gas V = ?

To determine the volume occupied by the gas, we substitute our values into the expression above.

PV = nRT

V = nRT / P

V = ( 0.582mol × 0.08206Latm/molK × 288.15K ) / 0.8073atm

V = 13.7617Latm / 0.8073atm

V = 17.05L

Therefore, the volume occupied by the given mol of the ideal gas at the given temperature and pressure is 17.05L.

Learn more about Ideal Gas Law here: brainly.com/question/4147359

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